Primality proof for n = 13909529:
Take b = 2.
b^(n-1) mod n = 1.
1738691 is prime. b^((n-1)/1738691)-1 mod n = 255, which is a unit, inverse 12327661.
(1738691) divides n-1.
(1738691)^2 > n.
n is prime by Pocklington's theorem.